Question
Andre and 3 of his friends want to see a new movie. At the movie theater, the price of a ticket is $10. The equation yequals10x gives the price, y, of x movie tickets. What is the constant of proportionality? What is the total cost of the 4 tickets?
Question content area bottom
Part 1
The constant of proportionality is
enter your response here.
Part 2
It will cost $
enter your response here for the 4 tickets.
Question content area bottom
Part 1
The constant of proportionality is
enter your response here.
Part 2
It will cost $
enter your response here for the 4 tickets.
Answers
GPT-4o mini
Part 1: The equation \( y = 10x \) shows that the cost \( y \) is directly proportional to the number of tickets \( x \). The constant of proportionality is the coefficient of \( x \), which is \( 10 \).
**The constant of proportionality is** \( 10 \).
Part 2: To find the total cost of 4 tickets, we can substitute \( x = 4 \) into the equation \( y = 10x \):
\[
y = 10 \times 4 = 40
\]
**The total cost for the 4 tickets is** \( 40 \) **dollars**.
So, it will cost **$40** for the 4 tickets.
**The constant of proportionality is** \( 10 \).
Part 2: To find the total cost of 4 tickets, we can substitute \( x = 4 \) into the equation \( y = 10x \):
\[
y = 10 \times 4 = 40
\]
**The total cost for the 4 tickets is** \( 40 \) **dollars**.
So, it will cost **$40** for the 4 tickets.